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10142502616161 = 34125216081681
BaseRepresentation
bin1001001110010111110001…
…0000111111110001100001
31022220121120110001012120000
42103211330100333301201
52312133321132204121
633323222410410213
72064525445526526
oct223457420776141
938817513035500
1010142502616161
113260458348783
121179827730969
13587584354686
14270c84c8d14d
15128c6a70a526
hex9397c43fc61

10142502616161 has 10 divisors (see below), whose sum is σ = 15151145883522. Its totient is φ = 6761668410720.

The previous prime is 10142502616091. The next prime is 10142502616187. The reversal of 10142502616161 is 16161620524101.

10142502616161 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 25 + 0 + 2 + 616 + 16 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5671751823936 + 4470750792225 = 2381544^2 + 2114415^2 .

It is not a de Polignac number, because 10142502616161 - 29 = 10142502615649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10142502616361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62608040760 + ... + 62608040921.

Almost surely, 210142502616161 is an apocalyptic number.

It is an amenable number.

10142502616161 is a deficient number, since it is larger than the sum of its proper divisors (5008643267361).

10142502616161 is an equidigital number, since it uses as much as digits as its factorization.

10142502616161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125216081693 (or 125216081684 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10142502616161 in words is "ten trillion, one hundred forty-two billion, five hundred two million, six hundred sixteen thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 125216081681 375648245043 1126944735129 3380834205387 10142502616161